A normal distribution comes in to play when we are interested in sample averages. It turns out that, if X is a random variable, with mean ,u. and standard deviation or, then if to samples are drawn from the population, with n > 30, the corresponding sample average follows a normal distribution [regardless of the distribution of X]. In particular, if I? is the random variable that represents the sample average, then M L X N (u, v ). A. Following off of Question 1, what distribution should the sample average height of 45 NBA players follow? Calculate the mean and standard deviation to two decimal places. B. What is the probability these 45 players will have an average height that is less than 80 inches? C. What is the probability these 45 players will have an average height that is between 3'0 and 80 inches? Use a Desmos page to yield your answers for parts B and C. Suppose that X is the random variable that represents the height, in inches, of an individual NBA player. Suppose also that X ~~ N(79, 6)